Solving Equations

What is a like term.
Collecting like terms
1. 2a + 3a
2. 5a - 2a
3. 2a + 2b + 4a - b

Collect like terms in an equation
1. 3x + 2x = 20 + 5
2. 4x - 3x = 15

Maintaining Equivalence by doing same thing to both sides.
4x = 16 (Divide by 4)
3x + 2 = 11
2x = 9 - x (Collect like terms)

Highlight importance of choosing sensible order of transformation
Workthrough 6x + 2 = 2x + 18
a) collect like terms first
b) divide through before collecting terms

Collect algabraic terms on one side and numbers on the other.


Example :
2x + 50 = 100
u do it?
Formal Method
Collect like terms on one side (illustrate with balance scales)
2x + 50 = 100 (-50)
2x = 50 (÷2)
x = 25